A Galerkin multiharmonic procedure for nonlinear multidimensional random vibration

DOI10.1016/0020-7225(87)90060-7zbMath0612.73095OpenAlexW1990458449MaRDI QIDQ1088498

M. Defilippi, Robert Bouc

Publication date: 1987

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90060-7

zbMATH Keywords

multidimensional systemharmonic balancesystem of nonlinear algebraic equationsrandom inputFast Fourier Transformcomputational iterative algorithmfinite trigonometric Fourier seriesGalerkin approximation of order Mnonlinear dynamical equationssolving at each step, M-times a 2d-dimensional linear systemstationary response processstationary vector-responsetrajectory approximations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Numerical methods for trigonometric approximation and interpolation (65T40) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (3)

Nonlinear modal analysis of frames by the incremental harmonic-balance method ⋮ Nonlinear vibrations of a beam with non-ideal boundary conditions and stochastic excitations -- experiments, modeling and simulations ⋮ Chaos in mechanical systems -- a review

Cites Work

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• Discretization and simulation of stochastic differential equations
• Galerkin's procedure for nonlinear periodic systems
• Equivalent Linearization for Hysteretic Systems Under Random Excitation
• Spectral analysis of non-linear systems involving square-law operations

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